论文标题
Hellinger的自适应有限元方案 - Reissner弹性混合特征值问题
An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem
论文作者
论文摘要
在本文中，我们研究了混合hellinger引起的特征值的近似 - 通过使用简单的有限元素使用$ C^0 $ C^0 $顶点连续性的压力的部分放松，这是由Jun Hu和Rui MA最近引入的。我们证明，当考虑残留类型误差估计器时，该方法会收敛，并且估计器相对于自由度的数量最佳地衰减。
In this paper we study the approximation of eigenvalues arising from the mixed Hellinger--Reissner elasticity problem by using the simple finite element using partial relaxation of $C^0$ vertex continuity of stresses introduced recently by Jun Hu and Rui Ma. We prove that the method converge when a residual type error estimator is considered and that the estimator decays optimally with respect to the number of degrees of freedom.
